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Self-organized criticality in deterministic systems with disorder

Paolo De Los Rios·Angelo Valleriani·Jose Luis Vega
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Abstract

Using the Bak-Sneppen model of biological evolution as our paradigm, we investigate in which cases noise can be substituted with a deterministic signal without destroying Self-Organized Criticality (SOC). If the deterministic signal is chaotic the universality class is preserved; some non-universal features, such as the threshold, depend on the time correlation of the signal. We also show that, if the signal introduced is periodic, SOC is preserved but in a different universality class, as long as the spectrum of frequencies is broad enough.

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Paolo De Los Rios, Angelo Valleriani, Jose Luis Vega. 1998-07-11. Self-organized criticality in deterministic systems with disorder. https://doi.org/10.1103/physreve.57.6451

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